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Finding the Fourth Proportional to 180,846.40, 271,192.80 and 87,380.80

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Solution

The fourth proportional to 180,846.40, 271,192.80 and 87,380.80 is: 131,034.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,846.40 : 271,192.80 = 87,380.80 : x
  2. Step 2: Convert to fraction form
    180,846.40/271,192.80 = 87,380.80/x
  3. Step 3: Cross multiply
    180,846.40x = 271,192.80 × 87,380.80
  4. Step 4: Simplify right side
    180,846.40x = 23,697,043,818.24
  5. Step 5: Solve for x
    x = 23,697,043,818.24/180,846.40
  6. Step 6: Final answer
    x = 131,034.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.